Determine the mass defect (in u) for (a) helium-3 (2He3), which has an atomic ma

Question

Determine the mass defect (in u) for (a) helium-3 (2He3), which has an atomic mass of 3.016 030 u, and (b) the isotope of hydrogen known as tritium (1T3), which has an atomic mass of 3.016 050 u. (c) On the basis of your answers to parts (a) and (b), state which nucleus requires more energy to disassemble it into its separate and stationary constituent nucleons.

Explanation / Answer

reactants ------------------------------------> products [ (Z)(mp + me) + (n)(mn) ] -------------> [ atom mass ] + [ binding energy ] element --------------------------------------> He3 ----------------- H3 mp= proton mass amu -----------------> 1.007 276 -------- 1.007 276 me=electron mass amu ----------------> 0.000 549 -------- 0.000 549 mn=neutron mass amu -----------------> 1.008 665 -------- 1.008 665 A=atomic mass ----------------------------> 3 -------------------- 3 Z=atomic number --------------------------> 2 -------------------- 1 n=number of neutrons=A - Z -----------> 1 -------------------- 2 reactants mass amu ----------------------> 3.024 315 -------- 3.025 155 atom mass amu ----------------------------> 3.016 030 --------- 3.016 050 mass defect amu --------------------------> 0.008 285 ---------- 0.009 105 c=speed of light in vacuum m/s ------> 299 792 538 ------- 299 792 538 kg / amu --------------------------------------> 1.661E-27 ---------- 1.661E-27 kg lost ----------------------------------------… 1.376E-29 ---------- 1.512E-29 E=mc^2 in Joules -------------------------> 1.236E-12 ---------- 1.359E-12

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